The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial velocity of object is v(0) 6 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. = - meters

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial velocity of the
object is v(0)
6 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) =
=
b) Find the object's displacement (in meters) from time 0 to time 3.
meters
c) Find the total distance traveled by the object from time 0 to time 3.
meters
Transcribed Image Text:The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial velocity of the object is v(0) 6 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters
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